1206793038192 has 320 divisors, whose sum is σ = 3819638384640. Its totient is φ = 320478216192.

The previous prime is 1206793038133. The next prime is 1206793038203. The reversal of 1206793038192 is 2918303976021.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228860068 + ... + 228865340.

It is an arithmetic number, because the mean of its divisors is an integer number (11936369952).

Almost surely, 2^{1206793038192} is an apocalyptic number.

1206793038192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206793038192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909819192320).

1206793038192 is an abundant number, since it is smaller than the sum of its proper divisors (2612845346448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1206793038192 is a wasteful number, since it uses less digits than its factorization.

1206793038192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 1206793038192 in words is "one trillion, two hundred six billion, seven hundred ninety-three million, thirty-eight thousand, one hundred ninety-two".